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3 years ago

TIME LIMIT PLEASE HELP

Mathematics

2 answers:

schepotkina [342]3 years ago

6 0

Answer:

Step-by-step explanation:

opposite angles are equal

∠PTQ = ∠RTS

x + 28 = 2x + 16

combine similar terms

28 - 16 = 2x - x

x = 12

∠PTQ = x + 28 = 12 + 28 = 40

∠RTS = 2x + 16 = 2(12) + 16 = 40

∠PTR = ( <u>360 - 40 - 40</u> )

∠PTR = 140

iren2701 [21]3 years ago

4 0

Answer:

Step-by-step explanation:

X + 28 = 2X + 16

28 - 16 = 2X - X

12 = X

The Answer Is 12

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A technician is testing light bulbs to determine the number of defective bulbs. The technician records the table below to show t

Kruka [31]

Answer:

The ratio of the number of bulbs tested to defective bulbs is always 14 to 1.

<u><em>What is the unitary method?</em></u>

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We generally expect industrial processes to produce defects at about the same rate, the proportion of the defective product is generally considered to be a remain constant.

Here, the proportion of defective bulbs is:

1/14 = 2/28 = 6/84

So, it will be 24/336.

The ratio of the number of bulbs tested to defective bulbs is expected to remain constant at about 14.

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2 years ago

There are 16 girls and 20 boys what is the ratio of girls to boys

kvasek [131]

The ratio is 4:5 girls to boys

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3 years ago

Need help pls<br>thank you in advance

ira [324]

Answer:

<u />

$\textsf{Mean}\:\overline{X}=\sf \dfrac{\textsf{sum of all the data values}}{\textsf{total number of data values}}$

$\implies \sf Mean\:(Nilo)=\dfrac{5+6+14+15}{4}=\dfrac{40}{4}=10$

$\implies \sf Mean\:(Lisa)=\dfrac{8+9+11+12}{4}=\dfrac{40}{4}=10$

<h3><u>Standard Deviation</u></h3>

$\displaystyle \textsf{Standard Deviation }s=\sqrt{\dfrac{\sum X^2-\dfrac{(\sum X)^2}{n}}{n-1}}$

$\begin{aligned}\displaystyle \textsf{Standard Deviation (Nilo)} & =\sqrt{\dfrac{(5^2+6^2+14^2+15^2)-\dfrac{(5+6+14+15)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{482-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{82}{3}}\\\\& = 5.23\end{aligned}$

$\begin{aligned}\displaystyle \textsf{Standard Deviation (Lisa)} & =\sqrt{\dfrac{(8^2+9^2+11^2+12^2)-\dfrac{(8+9+11+12)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{410-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{10}{3}}\\\\& = 1.83\end{aligned}$

<h3><u>Summary</u></h3>

Nilo has a mean score of 10 and a standard deviation of 5.23.

Lisa has a mean score of 10 and a standard deviation of 1.83.

The <u>mean</u> scores are the <u>same</u>.

Nilo's standard deviation is higher than Lisa's. Therefore, Nilo's test scores are more <u>spread out</u> that Lisa's, which means Lisa's test scores are more <u>consistent</u>.

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Answer:

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Step-by-step explanation:

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